计算2x/(x³-1)÷1/(x²+x+1)=

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计算2x/(x³-1)÷1/(x²+x+1)=
计算2x/(x³-1)÷1/(x²+x+1)=

计算2x/(x³-1)÷1/(x²+x+1)=
[2x/(x³-1)]÷[1/(x²+x+1)]
=(2x)(x²+x+1)/(x³-1)
=(2x)(x²+x+1)/[(x-1)(x²+x+1)]
=2x/(x-1)
=(2x-2+2)/(x-1)
=2+ 2/(x-1)